A Blaschke-type condition and its application to complex Jacobi matrices

Details A Blaschke-type condition and its application to complex Jacobi matrices A Blaschke-type condition and its application to complex Jacobi matrices

2007-12-03

arxiv.org/abs/0712.0407v2

Physics

Mathematical Physics

a detailed preliminary version; a shorter version is available upon request

Scientific paper

We obtain a Blaschke-type necessary conditions on zeros of analytic functions
on the unit disk with different types of exponential growth at the boundary.
These conditions are used to prove Lieb-Thirring-type inequalities for the
eigenvalues of complex Jacobi matrices.

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